Exponential equations are mathematical expressions that involve exponentials, which have the form of a number raised to a power. These types of equations can appear challenging, but with the right ...

Abstract: Certain radars, sonars, and other sampling instruments periodically measure a variable but can measure accurately only if prediction equations provide the instrument with an accurate ...

Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, Hanoi, Vietnam. Exponential dichotomy is at the heart of the fundamental perturbation results for linear ...

Exponential integrators represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...

Abstract: In this paper, the problem of exponential stability of the zero state equilibrium of a linear differential equation defined by an operator-valued function with positive evolution on an ...

Department of Mathematics, Yunnan University, Kunming, China. For an infinitely dynamic system with dissipative properties, studying the asymptotic behavior of its dynamical system is an important ...

What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control. The basics of population ecology ...

This is a preview. Log in through your library . Abstract Certain continuity properties of the spectra of linear autonomous differential-difference equations which depend on a parameter are developed.

Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...

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